Search a number
-
+
67770864 = 2433773307
BaseRepresentation
bin1000000101000…
…01100111110000
311201112010011000
410002201213300
5114322131424
610420322000
71452020460
oct402414760
9151463130
1067770864
1135289287
121a843300
131106b005
149001ba0
155e3a3c9
hex40a19f0

67770864 has 160 divisors (see below), whose sum is σ = 226096640. Its totient is φ = 19035648.

The previous prime is 67770839. The next prime is 67770907. The reversal of 67770864 is 46807776.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 220599 + ... + 220905.

It is an arithmetic number, because the mean of its divisors is an integer number (1413104).

Almost surely, 267770864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67770864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113048320).

67770864 is an abundant number, since it is smaller than the sum of its proper divisors (158325776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

67770864 is a wasteful number, since it uses less digits than its factorization.

67770864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The square root of 67770864 is about 8232.3061167573. The cubic root of 67770864 is about 407.7065363748.

The spelling of 67770864 in words is "sixty-seven million, seven hundred seventy thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 73 84 108 112 126 144 146 168 189 216 219 252 292 307 336 378 432 438 504 511 584 614 657 756 876 921 1008 1022 1168 1228 1314 1512 1533 1752 1842 1971 2044 2149 2456 2628 2763 3024 3066 3504 3684 3942 4088 4298 4599 4912 5256 5526 6132 6447 7368 7884 8176 8289 8596 9198 10512 11052 12264 12894 13797 14736 15768 16578 17192 18396 19341 22104 22411 24528 25788 27594 31536 33156 34384 36792 38682 44208 44822 51576 55188 58023 66312 67233 73584 77364 89644 103152 110376 116046 132624 134466 154728 156877 179288 201699 220752 232092 268932 309456 313754 358576 403398 464184 470631 537864 605097 627508 806796 928368 941262 1075728 1210194 1255016 1411893 1613592 1882524 2420388 2510032 2823786 3227184 3765048 4235679 4840776 5647572 7530096 8471358 9681552 11295144 16942716 22590288 33885432 67770864